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  4. displaystyle limh → 0 (f(2h+2+h2) - f(2)/f(h-h2+1)-f(1)) , given that f' (2) = 6 and f'(1) = 4

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Q. $\displaystyle \lim_{h \to 0} \frac{f\left(2h+2+h^{2}\right) - f\left(2\right)}{f\left(h-h^{2}+1\right)-f\left(1\right)} $ , given that f' (2) = 6 and f'(1) = 4

IIT JEEIIT JEE 2003Limits and Derivatives

Solution:

Correct answer is (d) is equal to 3